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비정규 분포의 잡음인자를 고려한 곱분해기법 기반의 통계 모멘트를 이용한 효율적인 강건 최적설계

Efficient Robust Design Optimization Using Statistical Moment Based on Multiplicative Decomposition Considering Non-normal Noise Factors

  • 조수길 (한양대학교 자동차공학과) ;
  • 이민욱 (한양대학교 자동차공학과) ;
  • 임우철 (한양대학교 자동차공학과) ;
  • 최종수 (한양대학교 자동차공학과) ;
  • 김형우 (한국해양과학기술원 해양시스템연구부) ;
  • 홍섭 (한국해양과학기술원 해양시스템연구부) ;
  • 이태희 (한양대학교 자동차공학과)
  • Cho, Su-Gil (Dept. of Automotive Engineering, Hanyang Univ.) ;
  • Lee, Min-Uk (Dept. of Automotive Engineering, Hanyang Univ.) ;
  • Lim, Woo-Chul (Dept. of Automotive Engineering, Hanyang Univ.) ;
  • Choi, Jong-Su (Dept. of Automotive Engineering, Hanyang Univ.) ;
  • Kim, Hyung-Woo (Ocean System Engineering Research Division, Korea Institute of Ocean Science & Technology) ;
  • Hong, Sup (Ocean System Engineering Research Division, Korea Institute of Ocean Science & Technology) ;
  • Lee, Tae-Hee (Dept. of Automotive Engineering, Hanyang Univ.)
  • 투고 : 2011.12.21
  • 심사 : 2012.08.22
  • 발행 : 2012.11.01

초록

제품의 성능은 시스템에 작용하는 환경인자, 재료 물성치와 같은 잡음인자의 변동에 큰 영향을 받는다. 제품의 성능을 위해서, 이러한 잡음인자의 변동에 따른 영향을 줄이는 것이 필요한데 이를 강건설계라 한다. 하지만 기존의 강건설계는 잡음인자의 변동이 아닌 설계변수의 변동을 중요하게 생각했다. 또한 변수와 인자의 분포를 정규분포로 가정해야 하는데 이는 실제 잡음인자의 분포와 맞지 않는 경우가 많다. 본 논문에서는 비 정규분포의 잡음인자의 분포를 고려하는 강건최적설계 기법을 제안한다. 제안된 기법은 실험을 통해 추정된 잡음인자의 비 정규분포 변동을 고려할 수 있다. 제안된 기법의 유용성을 확인하기 위해 공학예제로 심해저 망간 채집장치의 강건설계를 수행하였다.

The performance of a system can be affected by the variance of noise factors, which arise owing to uncertainties of the material properties and environmental factors acting on the system. For robust design optimization of the system performance, it is necessary to minimize the effect of the variance of the noise factors that are impossible to control. However, present robust design techniques consider the variation of design factors, and not the noise factors, as being important. Furthermore, it is necessary to assume a normal distribution; however, a normal distribution is often not suitable to estimate the variations. In this study, a robust design technique is proposed to consider the variation of noise factors that are estimated as non-normal distributions in a real experiment. As an example of an engineering problem, a deep-sea manganese nodule miner tracked vehicle is used to demonstrate the feasibility of the proposed method.

키워드

참고문헌

  1. Taguchi, G. and Wu, Y., 1980, Introduction to Off-Line Quality Control, Central Japan Quality Control Association.
  2. Phadke, M. S., 1989, Quality Engineering Using Robust Design, Prentice Hall, Englewood Cliffs.
  3. Jung, D.H. and Lee, B.C., 2000, "Development of an Efficient Optimization Technique for Robust Design by Approximating Probability Constraints," Trans. of KSME (A), Vol. 24, No. 12, pp. 3053-3060.
  4. Lee, K.H. and Park, G.J., 2001, "Robust Optimization Considering Tolerances of Design Variables," Computers and Structures, Vol. 79, pp.77-86. https://doi.org/10.1016/S0045-7949(00)00117-6
  5. Jung, J. J., 2007, Multiplicative Decomposition Method for Accurate Moment-based Reliability Method, Ph. D. thesis, Hanyang University.
  6. Park, G.J., Lee, T.H., Lee, K.H. and Hwang. K.H., 2006, "Robust Design : An Overview," AIAA, Vol. 44, No. 1, pp. 181-191. https://doi.org/10.2514/1.13639
  7. Matheron, G., 1963, "Principles of Geostatistics," Economic Geology, Vol. 58, pp. 1246-1266. https://doi.org/10.2113/gsecongeo.58.8.1246
  8. Sacks, J., Welch, W.J., Mitchell, T.J. and Wynn, H.P., 1989, "Design and Analysis of Computer Experiments," Statistical Science, Vol. 4, No.4, pp. 409-435. https://doi.org/10.1214/ss/1177012413
  9. Simpson, T.W., Mauery, T.M., Korte, J.J. and Mistree, F., 2001, "Kriging Models for Global Approximation in Simulation-Based Multidisciplinary Design Optimization," AIAA Journal, Vol. 39, No. 12, pp. 2234-2241.
  10. Choi, J.S., Hong, S., Kim, H.W., Yeu, T.K. and Lee, T.H., 2008, "Applying Axiomatic Design to Design Evaluation of Deep-sea Manganese Nodule Miner," KSOE, Vol. 13, No. 3, pp. 246-251.
  11. Hong, S., Kim, H.W. and Choi, J.S., 2002, "Transient Dynamic Analysis of Tracked Vehicles on Extremely Soft Cohesive Soil," Proc5th ISOPE Pacific/Asia Offshore Mechanics Sym. PACOMS-2002, Daejeon, Korea, ISOPE, pp. 100-107.
  12. Choi, J.S., Lee, T.H., Hong S., Ko, Y.T., Chi, S.B., Shin, H.R., Kim, H.W. and Yeu, T.K., 2008, "Statistical Analysis of Environmental Factor in KODOS area of Northeastern Equatorial Pacific for Robust Design Optimization of Tracked Vehicle of Deep sea Manganese Nodule Miner," KSOE Autumn conference, pp. 283-286.
  13. Chi, S.B., Jung, H.S., Kim, H.S. and Moon, JW., 1999, "Comparison of Vane-Shear Strength Measured by Different Methods in Deep-Sea Sediments from KODOS Area, NE Equatorial Pacific," KSOE, Vol. 4, No. 4, pp. 390-399.
  14. Park, J.S., 1994, "Optimal Latin-hypercube Designs for Computer Experiments," Journal of Statistical Planning and Inference, Vol. 39, No. 1, pp. 95-111. https://doi.org/10.1016/0378-3758(94)90115-5

피인용 문헌

  1. Threshold Estimation of Generalized Pareto Distribution Based on Akaike Information Criterion for Accurate Reliability Analysis vol.39, pp.2, 2015, https://doi.org/10.3795/KSME-A.2015.39.2.163